If the radius of a semi circle was 135cm squared what would the circumference be? Please round to the nearest centimetre to make it easier for me. I will give brainliest.

Answer:

65

Step-by-step explanation:

7x13=91

91-26=65

thats the answer right there kid

No, It is not possible that f is continuous on [ 4 , 5 ] is non-constant, and takes on only integer values.

Here,

A function f defined on [ 4 , 5 ].

We have to find, is it possible to f is continuous on [ 4 , 5 ], is non-constant, and takes on only integer values.

What is Intermediate value theorem?

Intermediate value theorem states that if “f” be a continuous function over a closed interval [a, b] with its domain having values f(a) and f(b) at the endpoints of the interval, then the function takes any value between the values f(a) and f(b) at a point inside the interval.

Now,

A function f defined on [ 4 , 5 ].

Assume that the function,

f :  [ 4 , 5 ] → Z is a non constant continuous function.

Then, f(4) and f(5) both are integers and not equal to each other.

By, Intermediate value theorem;

Function f takes all real numbers between f(4) and f(5) at least once.

These would contain all non integers rational and irrational number between f(4) and f(5), contradicting the assumption that function takes only integer values.

Hence, It is not possible that f is continuous on [ 4 , 5 ] is non-constant, and takes on only integer values.

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Answer:

answer is in the image below

Step-by-step explanation:

Use the distance formula to determine the distance between two points.

The response of the LTI system to the input x(t) = 4 + 4 cos(t) + 2 cos(2t) is y(t)= 24 + 8 cos(t) + 6 cos(2t).

Given input-output pairs x(t)→LTI→y(t) occur an LTI system:

-x(t) = 1+2cos(t)+3cos(2t) and

y(t)=6cos(t)+6cos(2t)

The required input is x(t)=4+4cos(t)+2cos(2t).

This question can be solved by following the below steps:

Step 1: Finding the response to 4

Step 2: Finding the response to 4 cos(t)

Step 3: Finding the response to 2 cos(2t)

Step 4: Combining the individual responses to find y(t)

Thus, the response of the LTI system to the input x(t) = 4 + 4 cos(t) + 2 cos(2t) is y(t)= 24 + 8 cos(t) + 6 cos(2t).

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To calculate the volume left unoccupied in the cylinder, we need to subtract the volume of the ball from the volume of the cylinder.

The volume of the cylinder can be calculated using the formula:

V_cylinder = π * r^2 * h

where π is the mathematical constant (approximated as 3.14), r is the radius of the cylinder, and h is the height of the cylinder.

Given that the cylinder has a height of 8 inches and a radius of 3 inches, we can calculate its volume:

V_cylinder = 3.14 * 3^2 * 8

V_cylinder = 3.14 * 9 * 8

V_cylinder = 226.08 cubic inches

Next, let's calculate the volume of the ball. The formula for the volume of a sphere is:

V_sphere = (4/3) * π * r^3

where r is the radius of the sphere.

Given that the ball has a diameter of 5 inches (radius = 2.5 inches), we can calculate its volume:

V_sphere = (4/3) * 3.14 * 2.5^3

V_sphere = (4/3) * 3.14 * 15.625

V_sphere = 65.45 cubic inches (rounded to two decimal places)

Volume left unoccupied = V_cylinder - V_sphere

Volume left unoccupied = 226.08 - 65.45

Volume left unoccupied = 160.63 cubic inches (rounded to two decimal places)

Therefore, approximately 160.63 cubic inches of volume is left unoccupied in the cylinder.

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Answer:

5 m, 2 m, 2.5 m, 2 m, 2.5 m, 4 m.

Step-by-step explanation:

First find the length of the 2 missing sides. Remember that the picture is WAY out of proportion, so the sides won't be what they look like.

Since the left side is 4 and the right side is 8 cm, the missing left side is 4 cm.

Since the top side is 5 and the bottom side is 10 cm, the missing top piece is 5 cm.

So the sides starting at the bottom right and going clockwise are 10, 4, 5, 4, 5, 8 cm. Multiply each of these * 0.5 and call them meters.

5 m, 2 m, 2.5 m, 2 m, 2.5 m, 4 m.

The demand function \($p = 5^{2\sqrt{7}} - \frac{1}{2}p^2$\) has an elasticity of demand equal to -2.32, indicating that demand is inelastic for prices within the interval   \($[0, 5^{2\sqrt{7}})$\).

To find the elasticity of demand, we first take the derivative of the demand function with respect to price:

\(\frac{dp}{dq} = -\frac{p}{5\sqrt{7}}\)

We can then use the formula for elasticity of demand, which is equal to (p/q)(dq/dp), where p and q are price and quantity, respectively. Plugging in the values from the demand function and its derivative, we get:

\(\frac{p}{5\sqrt{7}} - \frac{1}{2}p^2\left(-\frac{p}{5\sqrt{7}}\right)\)

Simplifying this expression, we get:

 \($-\frac{p}{2\sqrt{7}} + \frac{5^2\sqrt{7}}{2}$\)

Finally, we can solve for p when the elasticity of demand is equal to -1, which gives us the interval where demand is inelastic.

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The graph of y = x(x² - 2)(x² + x + 1) intersects the x-axis in three different points.

The answer is (C) Three.To determine the number of points where the graph of the equation y = x(x² - 2)(x² + x + 1) intersects the x-axis, we need to find the x-values that make the equation equal to zero.

Setting y = 0, we have:

0 = x(x² - 2)(x² + x + 1)

Since the product of three factors is zero, at least one of the factors must be zero.

1. Setting x = 0:

0 = 0(x² - 2)(x² + x + 1)

This gives us one solution: x = 0.

2. Setting x² - 2 = 0:

x² = 2

Taking the square root of both sides:

x = ±√2

This gives us two additional solutions: x = √2 and x = -√2.

3. Setting x² + x + 1 = 0:

To solve this quadratic equation, we can use the quadratic formula:

x = (-b ± √(b² - 4ac)) / (2a)

In this case, a = 1, b = 1, and c = 1. Substituting these values into the quadratic formula:

x = (-1 ± √(1² - 4(1)(1))) / (2(1))

Simplifying:

x = (-1 ± √(-3)) / 2

Since the discriminant is negative, there are no real solutions for this quadratic equation.

In summary, we have found three different x-values where the equation intersects the x-axis: x = 0, x = √2, and x = -√2.

Therefore, the graph of y = x(x² - 2)(x² + x + 1) intersects the x-axis in three different points. The answer is (C) Three.

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Answer:

$54.01

Step-by-step explanation:

All you have to do is $300.00-$245.99 .

The greatest number of strawberry smoothies Kevin can make with the remaining strawberries left after making 1 strawberry cake is 18.

From the question,  Kevin has a total of 10 1/2 quarts of strawberries.

Since one strawberry cake needs about 1 1/2 quarts of strawberries.

So, Kevin need to use 1 1/2 quarts of strawberries for the cake, so he will have leftover of:

10 1/2 - 1 1/2 = 9 quarts

Since each strawberry smoothie needs 1/2 quart of strawberries.

Hence, Kevin can make 9 / (1/2) = 18

Therefore, the greatest number of strawberry smoothies Kevin can make with the remaining strawberries left after making 1 strawberry cake is about 18.

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The Parallel Midpoint Crossing Triangle Converse Theorem refers to a geometrical concept that combines the ideas of parallel lines, midpoints, and triangle converses.

In geometry, parallel lines are lines that never intersect and remain an equal distance apart. Midpoints, on the other hand, are points that divide a line segment into two equal parts. A triangle converse involves reversing the statements of a given theorem to create a new, related theorem.

The Parallel Midpoint Crossing Triangle Converse Theorem is a derivative of the Midpoint Theorem, which states that if a line segment connects the midpoints of two sides of a triangle, the line segment will be parallel to the third side and half its length. The converse of this theorem can be stated as follows: if a line segment is drawn parallel to one side of a triangle and its length is half the length of the parallel side, then the line segment connects the midpoints of the other two sides of the triangle.

To summarize, the Parallel Midpoint Crossing Triangle Converse Theorem deals with a specific scenario in geometry where a line segment, parallel to one side of a triangle and half its length, connects the midpoints of the other two sides. This theorem and its converse play a crucial role in understanding geometric properties and relationships within triangles.

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Answer:

ASA

Step-by-step explanation:

there are 2 angles and one side in this order: Angle Side Angle

The periodic rate and interest in the first period for a $2,700 loan with 7.5% APR are 0.625% and $16.88 monthly, 0.0205% and $1.65 daily, 1.875% and $50.63 quarterly, and 0.288% and $7.80 biweekly.

The periodic rate is the interest charged for one period, and the interest in the first period is the amount of interest charged in the first period.

a. Monthly:

b. Daily:

c. Quarterly:

d. Biweekly:

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The midpoint formula and the normal vector of the plane can be used to determine the equation of the plane that contains all points equidistant from the points (1,0,-2) and (3,4,0).

Given by: The midpoint of the two points is:

M = [(1 + 3)/2, (0 + 4)/2, (-2 + 0)/2] = (2, 2, -1) (2, 2, -1)

The following vector runs between the two points:

V = (3 - 1, 4 - 0, 0 - (-2)) = (2, 4, 2) (2, 4, 2)

The cross product of two non-parallel plane vectors yields the normal vector to the plane. The midpoint M to a point on the plane is one such vector, while the other is the vector V. Consider the point P = (2, 2, -1) + t(2, 4, 2) as an illustration, where t is a scalar.

The normal vector is then provided by:

N = V x (P - M) = (2, 4, 2) x (2t, 4t, 2t -1), which equals (12t, -8t, 4t + 2)

The point-normal form, which makes use of the normal vector N and the point M, can be used to determine the equation for the plane:

(x - 2) * 12t = (y - 2) * -8t = (z + 1) * 4t + 2

The final equation of the plane is obtained by multiplying both sides of the equation by t and setting t 0.

12(x - 2) = -8(y - 2) = 4(z + 1) + 2

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Answer:

$425

Step-by-step explanation:

because the closest to 400$ is 425. hope this helps

Answer:

Approximately $425

Step-by-step explanation:

I've gone ahead and added a trend line of my own to the graph by connecting the first and last points of the scatter plot. Following that line, we can see that at temperature = 20, the closest approximation from the list is $425.

Answer:

The number of quarters required to pile up to 2 km are 1000000.

Step-by-step explanation:

Diameter of each quarter = 2 mm

Total height = 2 km

Number of quarters required is given by

\(\frac{ 2 km}{2 mm}\\\\\frac{2\times 1000\times 1000 mm}{2 mm}\\\\= 1000000\)

Answer:

52in^2

Step-by-step explanation:

The area of a triangle is A= 1/2bh

The area of a rectangle is A=lw

The base of the top triangle would be the length of the base of the two right triangles plus the length of the width of the the rectangle.

A=1/2bh

A=1/2(2+2+4)(4)

A=1/2(8)(4)

A=1/2(32)

A=16in^2

        2. The two right triangles

A=1/2bh

A=1/2(2)(6)

A=1/2(12)

A=6in^2

(Because the two triangle are the same we just multiply the area by 2 to get the value of both)

A=12in^2

       3. The rectangle

A=lw

A=6(4)

A=24in^2

-

Now just add the value of the areas for the different shapes.

16in^2 + 12in^2 + 24in^2 = 52in^2

SOLUTION

Given the question in the question tab, the following are the solution step to get the number of books they have altogether.

Step 1: Write the notations for Joseph's and Mike's books

Step 2: Write the statements in a mathematical form

Step 3: Solve to get the value of j by using substitution method

Therefore, Joseph had 84 books initially.

Step 4: Get the number of books they had altogether by summing the number of books for the each of them initially

Hence, they both had 112 books altogether.

The equilibrium point at y = 0 exists for all values of r.

For r ≤ 1/4, there are two equilibrium points given by:

y = -1 (one stable equilibrium)

y = [1 - √(1 - 4r)] / 2 (one unstable equilibrium)

For r > 1/4, there is only one equilibrium point at y = 0 (stable equilibrium).

To find the values of r where bifurcations occur in the given one-parameter family of autonomous differential equations, we need to find the values of r for which the equilibrium points change.

Let's solve the differential equation for y = 0 to find the equilibrium points:

dy/dt = (1+y)(r + y² - y)

Setting dy/dt = 0 and y = 0, we have:

0 = (1+0)(r + 0² - 0)

0 = r

So, the equilibrium point at y = 0 exists for all values of r.

Now, let's solve the differential equation for y ≠ 0 to find the remaining equilibrium points:

dy/dt = (1+y)(r + y² - y)

Setting dy/dt = 0 and y ≠ 0, we have:

0 = (1+y)(r + y² - y)

This equation will be satisfied if either (1+y) = 0 or (r + y² - y) = 0.

Case 1: (1+y) = 0

y = -1

Case 2: (r + y² - y) = 0

y² - y + r = 0

Applying the quadratic formula, we get:

y = [1 ± √(1 - 4r)] / 2

For equilibrium points, y must be real, so the discriminant (1 - 4r) must be greater than or equal to 0:

1 - 4r ≥ 0

4r ≤ 1

r ≤ 1/4

Therefore, for r ≤ 1/4, there are two equilibrium points given by:

y = -1 (one stable equilibrium)

y = [1 - √(1 - 4r)] / 2 (one unstable equilibrium)

For r > 1/4, there is only one equilibrium point at y = 0 (stable equilibrium).

Now, let's sketch the phase line for r = 1 and r = 12, indicating the equilibrium points.

For r = 1:

- There is an unstable equilibrium at y = [1 - √(1 - 4(1))] / 2 = 0.618.

- There is a stable equilibrium at y = 0.

- The phase line can be represented as follows:

        |---[0.618]---o---[0]---|

For r = 12:

- There is only one stable equilibrium at y = 0.

- The phase line can be represented as follows:

        o---[0]---|

Note: The equilibrium points are represented by 'o', and the brackets indicate their stability.

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Answer:

Im not sure about a but, b= 38

Step-by-step explanation

b: 90 - 52 = 38

*90 because it is a right angle

Answer:3.5

Step-by-step explanation:

The total number of samples in the sample space is 56 x 55 x 54 x 53 x 52, which equals a very large number.

In the given situation, the order of the objects matters since the experimenter is sampling them in a specific order. Therefore, we need to use the formula for combinations with repetition, also known as the formula for permutations. The formula for permutations is given by nPr = n! / (n-r)!, where n is the total number of objects and r is the number of objects being selected.

In this case, we have 56 objects and we are selecting 5 objects in order. Substituting the values into the formula, we get 56P5 = 56! / (56-5)! = 56! / 51!.

To simplify this expression, we calculate the factorials. The factorial of a number is the product of all positive integers less than or equal to that number. In this case, 56! represents the product of all positive integers from 56 down to 1. Similarly, 51! represents the product of all positive integers from 51 down to 1.

Calculating the factorials, we find that 56! = 56 x 55 x 54 x 53 x 52 x 51! / 51! = 56 x 55 x 54 x 53 x 52.

Hence, the total number of samples in the sample space is 56 x 55 x 54 x 53 x 52, which equals a very large number.

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The ordered pair that describes the location of E'' is (6, -1).

The initial location of Point EE is (-6, 1). To reflect Point EE over the yy-axis, we will change the sign of the x-coordinate while keeping the y-coordinate the same.

Step 1: Reflect Point EE over the yy-axis to create Point E'.
E' = (6, 1)

Next, to reflect Point E' over the xx-axis, you'll change the sign of the y-coordinate while keeping the x-coordinate the same.

Step 2: Reflect Point E' over the xx-axis to create Point E''.
E'' = (6, -1)

Therefore, the ordered pair that describes the location of E'' is (6, -1).

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(a) The community will use approximately 1.21449 billion units of electricity 5 years from now.

(b) It will take approximately 35 years for the consumption to double.

(a) To calculate the electricity consumption of the community 5 years from now, we need to apply the annual growth rate of 2% to the current consumption of 1.1 billion units.

The formula to calculate the future value with a constant growth rate is:

Future Value = Present Value * (1 + Growth Rate/100)^Number of Years

Let's calculate the future value:

Future Value = 1.1 billion * (1 + 2/100)⁵

Future Value = 1.1 billion * (1.02)⁵

Future Value ≈ 1.1 billion * 1.10408

Future Value ≈ 1.21449 billion

Therefore, the community will use approximately 1.21449 billion units of electricity 5 years from now.

(b) To find the number of years it will take for the consumption to double, we need to determine the time it takes for the initial consumption to increase by 100% or multiply by 2.

Let's set up the equation:

Future Value = Present Value * (1 + Growth Rate/100)^Number of Years

2 * Present Value = Present Value * (1 + 2/100)^Number of Years

Dividing both sides by Present Value:

2 = (1 + 2/100)^Number of Years

Taking the natural logarithm of both sides:

ln(2) = Number of Years * ln(1 + 2/100)

Number of Years = ln(2) / ln(1 + 2/100)

Using a calculator, we can determine the approximate value of Number of Years:

Number of Years ≈ 34.66

Therefore, it will take approximately 34.66 years for the consumption to double. Rounded to the nearest year, it will take about 35 years.

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Answer:

A'(-3,-2) B'(-1,-4) C'(-5,-3)

Step-by-step explanation:

im pretty sure that's right

hopes this helps

Answer:

\(A( - 2, \: 3) = > A'( 2, \: - 3) \\ B( - 4, \: 1) = > B'( 4, \: - 1) \\ C( - 3,\: 5) = > C'( 3, \: - 5)

\)

'

5

Step-by-step explanation:

-2 - (-7)

you have to do the opposite of the sign and switch the last number from negative to positive.